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Finding the Third Proportional to 13,423.50 and 31,072.50

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Solution

The third proportional to 13,423.50 and 31,072.50 is: 71,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.50 : 31,072.50 = 31,072.50 : x
  2. Step 2: Convert to fraction form
    13,423.50/31,072.50 = 31,072.50/x
  3. Step 3: Cross multiply
    13,423.50x = 31,072.50 × 31,072.50
  4. Step 4: Simplify right side
    13,423.50x = 965,500,256.25
  5. Step 5: Solve for x
    x = 965,500,256.25/13,423.50
  6. Step 6: Final answer
    x = 71,926.12

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.